Why is (x^2)^4 = (x^4) and not (x^8)?

because someone made a mistake

>>8250364
(x^2)^4 is equal to x^8

>>8250364
x=1

>>8250372
Could you explain how X=1 would make that true?

>>8250372
25% correct
x={±1,±i}

>>8250381
1^n=1
1^8=1^4

>>8250392
100/2n% correct
x={±1,±i,±j,±k,±l,±...±n}

>>8250438
fucking kek

>>8250372
>>8250433

Literal facepalm on this. It's supposed to be true for every value on the variables. It's an arithmetic rule not an equation. Sorry if incorrect terminology as english isn't my native language.

>>8251164
this

>>8250364
Actually, [math]{x^2}^4=x^{2^4}=x^{16}[/math]

>>8250438
"roots of unity" would make a decent name for some pagan whatever band.

>>8251164
It's wrong dumb shit

go to a real university next time

>>8251170
False [math] (x^2)^4=x^2*x^2*x^2*x^2=x^8 [/math] It's like you don't even know what a logarithm is.

>>8251180
Yes I know OP's picture is wrong, he was trying to justify it saying it's right. You can never solve for a value on x and y in OP's pic so you have to give an answer true for every value. He said it was true for x=1 which is true but it is still incorrect.

>>8250392
Actually, he's more like 20% correct.
{0, +-1, +-i}

>>8251299
Why do people put "+-i"? Isn't the whole point of imaginary numbers that they don't have properties like + or - and therefore they can for example have a negative square? The way i was taught you shouldn't do it.

>>8251306
Oh sorry, I forgot that the complex numbers doesnt form a field, my mistake

File: 1464267943754.png (344KB, 587x477px) Image search: [Google]

344KB, 587x477px

>>8251306
what the fuck

>>8252417
Polish understand that -0 is a multiplier.

>>8251170
i'm a 20 year math professor and this is correct

>>8251306
No... For example (-i)^3 = -i^3. Thinking it on 2d plane minus is a pi turn.

>>8252425
Nice bait dude.
[math]log(x^2)^4=4logx^2=8[/math]